The Minimal Model Program for threefolds in characteristic five

Abstract

We show the validity of the Minimal Model Program for threefolds in characteristic five.

36 pages

References in corpus (5)

• Globally $F$-regular and log Fano varieties
• Termination of (many) 4-dimensional log flips
• Minimal model program for log canonical threefolds in positive characteristic
• Abundance theorem for surfaces over imperfect fields
• Minimal model program for excellent surfaces

Cited by in corpus (8)

• Globally +-regular varieties and the minimal model program for threefolds in mixed characteristic
• Minimal model program for semi-stable threefolds in mixed characteristic
• Vanishing theorems for threefolds in characteristic $p>5$
• On Kawamata--Viehweg type vanishing for three dimensional Mori fiber spaces in positive characteristic
• Bogomolov--Sommese type vanishing for globally $F$-regular threefolds
• On the Bogomolov-Gieseker inequality in positive characteristic
• Weak Akizuki-Nakano vanishing theorem for globally $F$-split 3-folds
• On the termination of the MMP for semi-stable fourfolds in mixed characteristic